Question

$25 { }^{4} \times 25 {}^{x} = 25 {}^{6}$
find the value of
$x$

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Answer 1

Answer:

Given:

25^4 × 25^x = 25^6

To find:

Find the value of x

solution:

(25^4 = 390625 = 25 × 25 × 25 × 25)

(25^x = 625 = 25 × 25)

(25^6 = 244140625 = 25 × 25 × 25 × 25 × 25 × 25)

390625 × 625 = 244l40625

so, x = 25^2

Therefore:

25^4 × 25^2 = 25^6

LHS = RHS